Dennis Stanton

Affiliation: University of Minnesota

Email: stanton@math.umn.edu

Title Of Talk: t-analogues of q-analogues

URL: not yet

Abstract: The q-binomial coefficient is either (A) the generating function of partitions inside a rectangle, (B) the Hilbert series for a ring of invariants, (C) the number of vector subspaces of a given dimension of a finite vector space. By combining these ideas using modular representation theory, a t-analogue of q-analogue is presented. Letting either t or q approach 1, the q-binomial coefficient is recaptured. Some consequences for integer partitions will be presented.


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